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Finding the Fourth Proportional to 2,763.78, 4,145.67 and 1,032

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Solution

The fourth proportional to 2,763.78, 4,145.67 and 1,032 is: 1,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.78 : 4,145.67 = 1,032 : x
  2. Step 2: Convert to fraction form
    2,763.78/4,145.67 = 1,032/x
  3. Step 3: Cross multiply
    2,763.78x = 4,145.67 × 1,032
  4. Step 4: Simplify right side
    2,763.78x = 4,278,331.44
  5. Step 5: Solve for x
    x = 4,278,331.44/2,763.78
  6. Step 6: Final answer
    x = 1,548

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.